Posta Comment for "Diketahui a + b + c = 180°, sin a = 3/5, dan cos b = 5/13. Tentukan nilai sin c!" Newer Posts Older Posts Pondok Budaya Bumi Wangi. DMCA. About Me. Mas Dayat Lereng Gunung Muria, Kudus, Jawa Tengah, Indonesia. Selalu ingin belajar dan belajar View my complete profile
B Find the exact value of each expression (if possible) without using a calculator. Circle your final answer. 1. sin arccosž 5 CSC cos 4 cos sin 5. 8. 11. 14. cot arctan 13 cos arccos(O.7 arcsin (sin 5m) o cos (arcsin (1 O O 6. 12. sin arcsin tan (arctan (20 arccos (co z) -z 10. 13. sin (arcsin arccos cos 15. arctan (tan 8m) ( ILO) Name
c Se scrie 3 = 3·1 = 3·(sin 2 x + cos 2 x) si ecuatia devine 5sin 2 x + 5sinx·cosx = 3sin 2 x + 3cos 2 x sau 2sin 2 x + 5sinx·cosx - 3cos 2 x = 0 adica o ecuatie trigonometrica omogena de gradul al doilea. Se rezolva similar exemplelor precedente si se obtin solutiile x = -arctg3 + pk, k Î Z si d) Cum cos2x = cos 2 x - sin 2 x, sin2x = 2sinxcosx, ecuatia devine sau
B D. D. A. Xem thêm phương pháp giải các dạng bài tập Toán lớp 10 hay, chi tiết khác: Giá trị lượng giác của một góc bất kì từ 0 độ đến 180 độ và cách giải. Tích vô hướng của hai vectơ và cách giải bài tập. Hệ thức lượng trong tam giác và cách giải bài tập. Hệ
Sin Cos formulas are based on the sides of the right-angled triangle. Sin and Cos are basic trigonometric functions along with tan function, in trigonometry. The sine of an angle is equal to the ratio of the opposite side to the hypotenuse whereas the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
piyushTiwari417904.08.2018 Math Secondary School answered • expert verified Cos (a+b) = 4/5 and sin (a-b) = 5/13 then tan2a is Advertisement Expert-verified answer srilukolluru I hope it will help you mark as brainliest answer Find Math textbook solutions? See all Class 12 Class 11 Class 10 Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 Class 3
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The correct option is B5633Explanation for the correct optionStep 1. Find the value of tan2αGiven, cosα+β=45⇒ sinα+β=35 sinα-β=513⇒ cosα-β=1213Now, we can write2α=α+β+α–βStep 2. Take "tan" on both sides, we gettan2α=tanα+β+α–βtan2α=[tanα+β+tanα–β][1–tanα+βtanα–β] …1 ∵tanθ+ϕ=tanθ+tanϕ1-tanθtanϕAlso,tanα+β=sinα+βcosα+β=3/54/5=34tanα–β=sinα–βcosα–β=5/1312/13=512Step 3. Put these values in equation 1, we get∴tan2α=3/4+5/121–3/45/12=9+5/1248–15/48=5633Hence, Option ‘B’ is Correct.
$\begingroup$I've used the angle sum identity to end up with $\cos A \cos B -\sin A \sin B = \frac{5}{13} = \frac{3}{5}\cos B -\frac{4}{5} \sin B$, but don't know how to proceed from here. Any tips? asked Aug 10, 2017 at 1020 $\endgroup$ 1 $\begingroup$Hint $\cos B=\cosA+B-A$ use the compound angle formula answered Aug 10, 2017 at 1029 David QuinnDavid gold badges19 silver badges48 bronze badges $\endgroup$ $\begingroup$ $$A=\arcsin\dfrac45=\arccos\dfrac35$$ $$A+B=\arccos\dfrac5{13}=\arcsin\dfrac{12}{13}$$ $$B=\arccos\dfrac5{13}-\arccos\dfrac35$$ answered Aug 10, 2017 at 1056 $\endgroup$ You must log in to answer this question. Not the answer you're looking for? Browse other questions tagged .
Open in Appwe have the value of and but we don't have the value of and so, first we find the value of and let side opposite to angle hypotenuse where is any positive integer So, by Pythagoras theorem we can find the third side of a triangle taking positive square root as side cannot be negative So, Base we know that side adjacent to angle hypotenuse so, now we have to find the we know that let side adjacent to angle hypotenuse where is any positive integer so, by Pythagoras theorem, we can find the third side of a triangle taking positive square root since, side cannot be negative so, perpendicular we know that Now putting the values, we get Was this answer helpful? 00
Byju's AnswerStandard XIIMathematicsComposition of Trigonometric Functions and Inverse Trigonometric FunctionsIf cos a+b=4 ...QuestionOpen in AppSolutiongiven, cosA+B = 4/5, thus tanA+B=3/4. sinA-B=5/13,thus tanA-B=5/12. then tan2A=tanA+B+A-B =tanA+B+tanA-B/1-tanA+BtanA-B =3/4+5/12/1-3/45/12 =56/ Corrections20Similar questionsQ. If sinA=45 and cosB=513, where 0 sin a 4 5 cos b 5 13
